document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478331>Question 478331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question is: Find any intersection points of the graphs of the equations.\r<BR>\n" );
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document.write( "y=2x^2<BR>\n" );
document.write( "y=x^4-2x^2\r<BR>\n" );
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document.write( "can you please explain how to solve this problem for future reference :) Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327727 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My question is: Find any intersection points of the graphs of the equations. <BR>\n" );
document.write( "y=2x^2<BR>\n" );
document.write( "y=x^4-2x^2<BR>\n" );
document.write( "**<BR>\n" );
document.write( "You can solve this like most systems of equations:<BR>\n" );
document.write( "Substitute 2x^2 for y in second equation<BR>\n" );
document.write( "2x^2=x^4-2x^2<BR>\n" );
document.write( "4x^2=x^4<BR>\n" );
document.write( "divide by x^2<BR>\n" );
document.write( "4=x^2<BR>\n" );
document.write( "x=±2 (points of intersection)<BR>\n" );
document.write( "note: dividing by the variable can cause a loss of an answer. In this case, you can see that when x=0, both equations are=0, so zero is the third point of intersection.  </SPAN>\n" );
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